A note on stability of the Cramer theorem on the group (Q809460)
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scientific article; zbMATH DE number 4213094
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on stability of the Cramer theorem on the group |
scientific article; zbMATH DE number 4213094 |
Statements
A note on stability of the Cramer theorem on the group (English)
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1989
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Let \(x_ 1\), \(x_ 2\) be independent random variables taking values in the group \(R\times Z_ 2\). Put \(x=x_ 1+x_ 2\). Let \(k_ 1\), \(k_ 2\), k be the distances, in a certain metric, from the distributions of \(x_ 1\), \(x_ 2\), x, respectively, to the set of all normal distributions on \(R\times Z_ 2\). The author estimates \(k_ 1\), \(k_ 2\) from above in terms of k.
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locally compact Abelian group
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stability of decompositions
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